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Finding the Fourth Proportional to 434,471.84, 598,942.86 and 305,016.14

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Solution

The fourth proportional to 434,471.84, 598,942.86 and 305,016.14 is: 420,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,471.84 : 598,942.86 = 305,016.14 : x
  2. Step 2: Convert to fraction form
    434,471.84/598,942.86 = 305,016.14/x
  3. Step 3: Cross multiply
    434,471.84x = 598,942.86 × 305,016.14
  4. Step 4: Simplify right side
    434,471.84x = 182,687,239,237.76
  5. Step 5: Solve for x
    x = 182,687,239,237.76/434,471.84
  6. Step 6: Final answer
    x = 420,481.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.